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Finding the Fourth Proportional to 20,302.50, 30,458.61 and 6,451.50

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Solution

The fourth proportional to 20,302.50, 30,458.61 and 6,451.50 is: 9,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.50 : 30,458.61 = 6,451.50 : x
  2. Step 2: Convert to fraction form
    20,302.50/30,458.61 = 6,451.50/x
  3. Step 3: Cross multiply
    20,302.50x = 30,458.61 × 6,451.50
  4. Step 4: Simplify right side
    20,302.50x = 196,503,722.42
  5. Step 5: Solve for x
    x = 196,503,722.42/20,302.50
  6. Step 6: Final answer
    x = 9,678.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.